Geodesic
Matrix representation of Lie algebras over rings
Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 671-678.

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Over the principal ideal ring $k$, the Lie $k$-algebras which are free $k$-modules of finite rank are, to within isomorphism, the Lie subalgebras of the full matrix algebra $M(n, k)$. 
@article{MZM_1971_10_6_a8,
     author = {V. A. Churkin},
     title = {Matrix representation of {Lie} algebras over rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {671--678},
     publisher = {mathdoc},
     volume = {10},
     number = {6},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a8/}
}
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V. A. Churkin. Matrix representation of Lie algebras over rings. Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 671-678. http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a8/